<PRE><B>Question 234152</B>
We have two equations in two variables in this case.

Let y = larger number

Let x = smaller number

The larger of two numbers is 5 less than twice the smaller number.  This can be written as y = 2x - 5.

The sum of the two numbers is 28. This can be written as x + y = 28

Here are the two equations:

y = 2x - 5...equation A
x + y = 28...equation B

I will replace y in equation B with its value given in equation A to find x.

x + (2x - 5) = 28

3x - 5 = 28

3x = 28 + 5

3x = 33

x = 33/3

x = 11

The smaller number is 11.

To find y, let x = 11 in either equation A or B (your choice) and solve for y.

I will use x + y = 28 to find y.

Let x = 11

11 + y = 28

y = 28 -11

y = 17

The larger nuber is 17.





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